EDSM:secure and efficient scalar multiplication algorithm on Edwards curves

Investigate the secure and efficient algorithm for scalar multiplication on Edwards curves.First,several new addition and doubling formulas were proposed.Analysis shows that our new formulas are more efficient than existed formulas.Then a new scalar multiplication algorithm was forwarded,called EDSM...

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Main Authors: ZHANG Bao-hua1, YIN Xin-chun2, ZHANG Hai-ling2
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2008-01-01
Series:Tongxin xuebao
Subjects:
Online Access:http://www.joconline.com.cn/zh/article/74654876/
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author ZHANG Bao-hua1
YIN Xin-chun2
ZHANG Hai-ling2
author_facet ZHANG Bao-hua1
YIN Xin-chun2
ZHANG Hai-ling2
author_sort ZHANG Bao-hua1
collection DOAJ
description Investigate the secure and efficient algorithm for scalar multiplication on Edwards curves.First,several new addition and doubling formulas were proposed.Analysis shows that our new formulas are more efficient than existed formulas.Then a new scalar multiplication algorithm was forwarded,called EDSM algorithm.Finally,our EDSM algo-rithm with the improved Montgomery method and other existed secure and efficient algorithms were compared.Experi-mental results show that our EDSM(scalar multiplication on Edwards curve) algorithm make great improvements in as-pects of efficiency and security.
format Article
id doaj-art-884b334de55741baa76b42b1c91278b1
institution Kabale University
issn 1000-436X
language zho
publishDate 2008-01-01
publisher Editorial Department of Journal on Communications
record_format Article
series Tongxin xuebao
spelling doaj-art-884b334de55741baa76b42b1c91278b12025-01-14T08:32:16ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2008-01-01768174654876EDSM:secure and efficient scalar multiplication algorithm on Edwards curvesZHANG Bao-hua1YIN Xin-chun2ZHANG Hai-ling2Investigate the secure and efficient algorithm for scalar multiplication on Edwards curves.First,several new addition and doubling formulas were proposed.Analysis shows that our new formulas are more efficient than existed formulas.Then a new scalar multiplication algorithm was forwarded,called EDSM algorithm.Finally,our EDSM algo-rithm with the improved Montgomery method and other existed secure and efficient algorithms were compared.Experi-mental results show that our EDSM(scalar multiplication on Edwards curve) algorithm make great improvements in as-pects of efficiency and security.http://www.joconline.com.cn/zh/article/74654876/elliptic curveEdwards curvescalar multiplicationside-channel attacksMontgomery method
spellingShingle ZHANG Bao-hua1
YIN Xin-chun2
ZHANG Hai-ling2
EDSM:secure and efficient scalar multiplication algorithm on Edwards curves
Tongxin xuebao
elliptic curve
Edwards curve
scalar multiplication
side-channel attacks
Montgomery method
title EDSM:secure and efficient scalar multiplication algorithm on Edwards curves
title_full EDSM:secure and efficient scalar multiplication algorithm on Edwards curves
title_fullStr EDSM:secure and efficient scalar multiplication algorithm on Edwards curves
title_full_unstemmed EDSM:secure and efficient scalar multiplication algorithm on Edwards curves
title_short EDSM:secure and efficient scalar multiplication algorithm on Edwards curves
title_sort edsm secure and efficient scalar multiplication algorithm on edwards curves
topic elliptic curve
Edwards curve
scalar multiplication
side-channel attacks
Montgomery method
url http://www.joconline.com.cn/zh/article/74654876/
work_keys_str_mv AT zhangbaohua1 edsmsecureandefficientscalarmultiplicationalgorithmonedwardscurves
AT yinxinchun2 edsmsecureandefficientscalarmultiplicationalgorithmonedwardscurves
AT zhanghailing2 edsmsecureandefficientscalarmultiplicationalgorithmonedwardscurves